# Basic Arithmetic and Algebra

**Course Description:**

This course is a combination of remedial arithmetic skills and elementary
algebra. It

includes the arithmetic of integers, fractions, decimals, and percent. In
addition, the

course covers topics such as algebraic representation , operations with
polynomials,

solving linear equations, solving systems of two linear equations in two
variables,

exponents and radicals, factoring, graphing linear equations, and the
Pythagorean

theorem. This is an accelerated course for students who have scored relatively
high on

the placement examination in pre-algebra.

**PreICo-Requisites:**

Students who score between 27 and 36 on the COMPASS Pre-algebra exam and less
than

38 on the COMPASS algebra exam are eligible to take MAT 012. Students who have
not

yet taken and/or obtained a score of 27 or more on the COMPASS Pre-algebra exam
will

be required to do so in MAT012.

**Student Learning Outcomes:**

The students should be able to:

•write, round, add, subtract, multiply, and divide whole numbers.

• estimate the sum , difference, product and quotient of whole numbers.

•complete problems involving exponents, simple averages , and order of operations.

•solve applied problems involving whole numbers, fractions, decimals,

percentages, ratios, proportions, basic algebra, basic statistics, bar graphs
and

scientific notation.

•form, reduce, add, subtract, multiply, divide and compare fractions .

•find prime factorizations of whole numbers.

• convert between mixed numbers and improper fractions.

•write, round, add, subtract, multiply, divide and compare decimals.

•convert between decimals and fractions .

•solve applied problems involving decimals.

•translate between word statements and simple algebraic statements.

•evaluate simple algebraic expressions and solve simple linear equations.

•solve applied problems involving simple linear equations.

•write ratios and rates as fractions.

find unit rates and best buys.

set up and solve proportion problems.

convert between decimals, percent and fractions.

set up and solve percent problems, including application problems involving

percent.

•add, subtract, multiply, divide and compare signed numbers .

•find the absolute value of a real number.

•solve applied problems involving signed numbers.

•find the mean, median, mode, and range of a set of numbers.

•read and interpret tables, line graphs, bat graphs and pie charts.

•convert numbers between standard form and scientific notation.

•add, subtract, multiply, and divide numbers in scientific notation.

•Evaluate algebraic expressions via substitution.

•add, subtract, multiply, divide and simplify algebraic expressions.

•use algebraic expressions to solve applied problems.

•solve linear and literal equations.

•solve applied problems using linear equations in one variable.

•graph the solution set of a linear inequality.

• plot points in the x-y plane.

•graph linear equations.

•define a linear equation in x and y using given information.

•find the slope of a line from given information.

•solve systems of linear equations in 2 variables using graphical, substitution
and

elimination methods.

•solve applied problen~si nvolving systems of equations.

•multiply, divide and simplify expressions involving exponents.

•add, subtract, multiply, divide and evaluate polynomials.

•convert numbers between standard form and scientific notation.

•add, subtract, multiply, and divide numbers in scientific notation.

•factor polynomials using the greatest common factor and grouping.

•factor trinomials and difference of squares .

•solve quadratic equations in one variable by factoring.

•solve applied problems involving factoring.

•simplify, add, subtract, multiply and divide rational expressions.

•simplify complex fractions.

•solve rational equations.

•simplify, add, subtract, multiply and divide radical expressions.

•rationalize the denominator of a radical expression.

**Required Text and Readings:**

Introductory Algebra with Arithmetic Review, Custom Edition, by Geoffrey Akst
and

Sadie Bragg, Pearson Custom Publishing, 2005.

**Evaluation and Requirements of Students:**

The final grade in this course will be S (Satisfactory) or
R (repeat). To earn a grade of S in the

course, the student must pass the COMPASS Algebra examination (1 attempt) with a
score of at

least 27, pass a departmental final examination (2 attempts) with a grade of 70%
or better and

also satisfy any additional criteria stated by the instructor. Students are
required to attend all

scheduled classes. The college attendance policy, as specified in the catalog,
is that instructors

can give a failing grade to students with excessive absences.

Outline of Topics: |
Pages in Text |

Arithmetic of Whole Numbers | 1 -77 |

Fractions | |

Decimals | |

Percent | |

Basic Statistics | |

Signed Numbers | |

Algebraic Expressions, Translations and Exponents | |

Solving Linear Equations and Inequalities | |

Graphing Linear Equations and Inequalities | |

Solving Systems of Linear Equations | |

Exponents and Polynomials (includes scientific notation) | |

Factoring Polynomials | |

Rational Expressions and Equations | |

Radical Expressions and Equations |

**College Attendance Policy:**

**1. Absences**

At BMCC, the maximum number of absences is limited to one more hour than the
number of

hours a class meets in one week. For this course, you are allowed seven hours of
absence (not

seven days). In the case of excessive absence, the instructor has the option to
lower the grade or

assign an "F", " R , or "WU" grade.

**2. Class Attendance**

If you do not attend class at least once in the first three weeks of the course
and once in the fourth

or fifth weeks, the Office of the Registrar is required to assign a grade of
"WU". Attendance in

both regular and remedial courses is mandated by policy of the City University
of New York.

Instructors are required by New York State law to keep an official record of
class attendance.

**3. Lateness**

Classes begin promptly at the times indicated in the Schedule of Classes.
Arrival in classes after

the scheduled starting time constitutes a lateness. Latecomers may, at the
discretion of the

instructor, incur an official absence.

**Academic Adjustments for Students with Disabilities:**

Students with disabilities who require reasonable accommodations or academic

adjustments for this course must contact the Office of Services for Students
with

Disabilities. BMCC is committed to providing equal access to all programs and
curricula

to all students.

**BMCC Policy on Plagiarism and Academic Integrity
Statement:**

Plagiarism is the presentation of someone else's ideas, words or artistic,
scientific, or

technical work as one's own creation. Using the idea or work of another is
permissible

only when the original author is identified. Paraphrasing and summarizing, as
well as

direct quotations require citations to the original source. Plagiarism may be
intentional or

unintentional. Lack of dishonest intent does not necessarily absolve a student
of

responsibility for plagiarism.

Students who are unsure how and when to provide
documentation are advised to

consult with their instructors. The library has guides designed to help students
to

appropriately identify a cited work. For further information on integrity and
behavior,

please consult the college bulletin (also available online).

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